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math.AP2026
Uniqueness for the spatially homogeneous Boltzmann equation in critical Sobolev spaces
Tianhao Dong, Shuchen Guo, Jie Ji
We study the spatially homogeneous Boltzmann equation without angular cutoff for very soft potentials satisfying the inverse power law relation . Our main results establish…
math.AP2026
Equilibria and linear stability for the Boltzmann equation with radial anharmonic confining potentials
Ling-bing He, Jie Ji, Wu-wei Li
We study the Boltzmann equation in the whole space under the radial anharmonic confining potentials for and for . We first c…
math.AP2026
Runaway avalanches in plasmas with external electric fields: spatially inhomogeneous case in a perturbation framework
Ling-Bing He, Richard M. Höfer, Jie Ji +1
We consider the Landau-Coulomb equation for a (hydrogen) plasma heated by an external electric field. In this setting, theoretical and experimental results in plasma physics show t…